Totally geodesic Lagrangian submanifolds of the pseudo-nearly Kähler $\mathrm{SL}(2,\mathbb{R})\times \mathrm{SL}(2,\mathbb{R})$

Mateo Anarella, Joeri Van der Veken

In this paper, we study Lagrangian submanifolds of the pseudo-nearly Kähler $\mathrm{SL}(2,\mathbb{R})\times \mathrm{SL}(2,\mathbb{R})$. First, we show that they split into four dif…